Fluid-structure interaction causes a hydrodynamic force, which can be exerted to the dam and affects its response. The effect of vertical excitation of ground motion on dynamic behavior of concrete gravity dam is the most important because of the interaction between foundation and reservoir. So, the foundation-reservoir interaction should be taken into account in designing concrete dams. In most studies, the effects of the vertical component of vibration have been ignored. While in vertical vibration, due to the interaction of the reservoir and the foundation, a significant hydrodynamic pressure is produced in the tank, which increases the dam response. In this study, the hydrodynamic pressure wave propagation in the reservoir of a concrete gravity dam caused by interaction with the foundation under vertical vibration is investigated using an analytical method. To achieve an analytical solution, the reservoir is assumed to be rectangular, and a harmonic load is vertically applied on the system from the foundation. Considering the acoustic nature of the reservoir fluid under harmonic vibration, a new method using the separation of variables method has been used for solution of hydrodynamic wave equation. The results show a significant effect of the vertical component of earthquake on the amount of induced pressure distributed in the reservoir, which has been omitted in most previous studies. Obtained results of the proposed model can be extended to more complicated models in terms of different loading and geometrical conditions.

中文翻译：

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利用解析法评价混凝土重力坝竖向振动时的水动力压力分布。

流体与结构的相互作用会产生水动力，该水动力会施加到大坝上并影响其响应。由于地基与水库之间的相互作用，地震动的垂直激励对混凝土重力坝动力特性的影响最为重要。因此，在设计混凝土大坝时应考虑地基与水库的相互作用。在大多数研究中，振动的垂直分量的影响已被忽略。在垂直振动中，由于水库和地基的相互作用，在水箱中会产生很大的水动力压力，这会增加大坝的响应。在这项研究中，利用解析法研究了重力坝与竖向相互作用引起的水力压力波在混凝土重力坝水库中的传播。为了获得解析解，假定水库为矩形，并且谐波载荷从基础垂直施加到系统上。考虑到油藏流体在谐波振动下的声学特性，采用了一种采用变量分离法的新方法来求解水动力波方程。结果表明，地震的垂直分量对储层中分布的感应压力有显着影响，这在以前的大多数研究中都已被忽略。